A ladder 25 m long leans against a vertical wall with its foot 7 m from the wall. How high up the wall does it reach, in meters?
Answer and explanation
Correct answer: B. 24
- Step 1: The ladder, the wall and the ground form a right triangle with the ladder as hypotenuse.
- Step 2: h^2 = 25^2 - 7^2 = 576, so h = 24.
Answer
24.
Why not the others: 18 subtracts the lengths without squaring; 32 adds them; 576 is h squared.
Practise more Geometry.
Free questions with an explanation for every one, and full timed Psychometric Entrance Test (PET Israel) mock tests.
More Geometry questions
- The perimeter of a rectangle is 40 cm and its length is 8 cm more than its width. What is its area in square cm?
- A circle has radius 10 cm. What is its area in terms of pi?
- A pole 4 m tall casts a shadow 5 m long. At the same time a building casts a shadow 30 m long. How tall is the building in meters?
- A circle has circumference 18 pi cm. What is its area in terms of pi?
- A ladder 13 m long leans against a vertical wall with its foot 5 m from the wall. How high up the wall does it reach, in meters?
- A pole 3 m tall casts a shadow 2 m long. At the same time a building casts a shadow 10 m long. How tall is the building in meters?